Linear Theories of Elasticity and Thermoelasticity
Author : Clifford Truesdell
Publisher : Springer
Page : 755 pages
File Size : 38,73 MB
Release : 2013-12-17
Category : Technology & Engineering
ISBN : 3662397765
The Linear Theory of Thermoelasticity
Author : I.N. Sneddon
Publisher : Springer
Page : 197 pages
File Size : 20,58 MB
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 3709126487
Book Description
Thermoelastic Models of Continua
Author : D. Iesan
Publisher : Springer Science & Business Media
Page : 309 pages
File Size : 26,20 MB
Release : 2013-03-19
Category : Science
ISBN : 1402023103
Book Description
This volume is concerned with the basic problems of the theory of thermoelasticity for three models of continuous bodies: materials with voids, micropolar solids and nonsimple bodies. Beginning with the basic laws of thermodynamics, the theory of thermoelastic materials with voids is treated. Two subsequent chapters cover the analysis of the linear theory of micropolar thermoelastic bodies. The book concludes with a study of nonsimple thermoelastic materials, which are characterised by the inclusion of higher gradients of displacement in the basic postulates. Relevant examples and exercises which illustrate the theory are given throughout the text. The book should be of interest to mathematicians and specialists working in the fields of elasticity, thermoelasticity, civil engineering and geophysics.
Thermoelasticity
Author : Witold Nowacki
Publisher : Elsevier
Page : 579 pages
File Size : 12,31 MB
Release : 2013-10-22
Category : Science
ISBN : 1483162486
Book Description
Thermoelasticity, Second Edition reviews advances in thermoelasticity and covers topics ranging from stationary problems of thermoelasticity to variational theorems of stationary thermoelasticity; stresses due to the action of a discontinuous temperature field in an infinite elastic body; the action of heat sources in the elastic space; and thermal inclusions in an infinite disc and semi-infinite disc. Three different sets of differential equations describing the fields of strain and temperature are presented. This book is comprised of 12 chapters and begins with a discussion on basic relations and equations of thermoelasticity. Thermoelasticity is treated as a synthesis of the theory of elasticity and the theory of heat conduction. Some particular cases of thermoelasticity are then investigated, including stationary problems, the theory of thermal stresses, and classical dynamic elasticity. Dynamic effects due to the action of a non-stationary temperature field are examined, along with plane harmonic waves in an elastic space and thermal stresses in plates, shells, and viscoelastic bodies. The final chapter focuses on micropolar thermoelasticity, magnetothermoelasticity, and thermopiezoelectricity. This monograph will be of interest to physicists and mechanical engineers.
Thermoelastic Deformations
Author : D. Iesan
Publisher : Springer Science & Business Media
Page : 317 pages
File Size : 14,97 MB
Release : 2013-06-29
Category : Science
ISBN : 9401735174
Book Description
The theory of thermoelasticity studies the interaction between thermal and mechan ical fields in elastic bodies. This theory is of interest both for the mathematical and technical point of view. Intense interest has been shown recently in this field owing to the great practical importance of dynamical effects in aeronautics, nu clear reactors, and its potential importance in cryogenic applications. This work is concerned mainly with basic problems of the theory of thermoelasticity. Ther moelasticity of polar materials and the theories of thermoelasticity with finite wave speeds are not considered here. The reader interested in these subjects will find a full account in the works of Nowacki [280], Chandrasekharaiah [60] and Ignaczak [195]. Our purpose in this work is to present a systematic treatment of some results established in the theory of thermoelasticity. On the whole, the subject matter is directed towards recent developments. Chapter 1 is concerned mainly with the development of the fundamental equa tions of the theory of thermoelasticity. The kinematics and primitive concepts associated with the basic principles are developed and emphasized only to the ex tent that they are needed in our treatment of the subject. Chapter 2 is devoted to a study of linear thermoelastic deformations for prestressed bodies. We have at tempted to isolate those conceptual and mathematical difficulties which arise over and above those inherent in the problems concerned with unstressed bodies.
Thermoelasticity with Finite Wave Speeds
Author : Józef Ignaczak
Publisher : Oxford University Press
Page : 432 pages
File Size : 50,85 MB
Release : 2010
Category : Language Arts & Disciplines
ISBN : 0199541647
Book Description
A unique monograph in a fast developing field of generalized thermoelasticity, an area of active research in continuum mechanics, focusing on thermoelasticity governed by hyperbolic equations, rather than on a wide range of continuum theories.
Heat Conduction Within Linear Thermoelasticity
Author : William A. Day
Publisher : Springer
Page : 0 pages
File Size : 37,51 MB
Release : 2012-01-16
Category : Science
ISBN : 9781461395577
Book Description
J-B. J. FOURIER'S immensely influential treatise Theorie Analytique de la Chaleur [21J, and the subsequent developments and refinements of FOURIER's ideas and methods at the hands of many authors, provide a highly successful theory of heat conduction. According to that theory, the growth or decay of the temperature e in a conducting body is governed by the heat equation, that is, by the parabolic partial differential equation Such has been the influence of FOURIER'S theory, which must forever remain the classical theory in that it sets the standard against which all other theories are to be measured, that the mathematical investigation of heat conduction has come to be regarded as being almost identicalt with the study of the heat equation, and the reader will not need to be reminded that intensive analytical study has t But not entirely; witness, for example, those theories which would replace the heat equation by an equation which implies a finite speed of propagation for the temperature. The reader is referred to the article [9] of COLEMAN, FABRIZIO, and OWEN for the derivation of such an equation from modern Continuum Thermody namics and for references to earlier work in this direction. viii Introduction amply demonstrated that the heat equation enjoys many properties of great interest and elegance.
Elasticity
Author : Martin H. Sadd
Publisher : Elsevier
Page : 474 pages
File Size : 28,77 MB
Release : 2010-08-04
Category : Technology & Engineering
ISBN : 008047747X
Book Description
Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. - Contains exercises for student engagement as well as the integration and use of MATLAB Software - Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of
Theory of Elasticity and Thermal Stresses
Author : M. Reza Eslami
Publisher : Springer Science & Business Media
Page : 787 pages
File Size : 19,61 MB
Release : 2013-05-13
Category : Science
ISBN : 9400763565
Book Description
This book contains the elements of the theory and the problems of Elasticity and Thermal Stresses with full solutions. The emphasis is placed on problems and solutions and the book consists of four parts: one part is on The Mathematical Theory of Elasticity, two parts are on Thermal Stresses and one part is on Numerical Methods. The book is addressed to higher level undergraduate students, graduate students and engineers and it is an indispensable companion to all who study any of the books published earlier by the authors. This book links the three previously published books by the authors into one comprehensive entity.
Non-Linear Theory of Elasticity
Author : A.I. Lurie
Publisher : Elsevier
Page : 632 pages
File Size : 50,8 MB
Release : 2012-12-02
Category : Science
ISBN : 0444597239
Book Description
This book examines in detail the Theory of Elasticity which is a branch of the mechanics of a deformable solid. Special emphasis is placed on the investigation of the process of deformation within the framework of the generally accepted model of a medium which, in this case, is an elastic body. A comprehensive list of Appendices is included providing a wealth of references for more in depth coverage. The work will provide both a stimulus for future research in this field as well as useful reference material for many years to come.
